The dependence of Lagrangians on generalized fractional operators as well as on classical derivatives is considered along with still more general problems in which integer-order integrals are replaced by fractional integrals. General theorems are obtained for several types of variational problems for which recent results developed in the literature can be obtained as special cases. In particular, the authors offer necessary optimality conditions of Euler–Lagrange type for the fundamental and isoperimetric problems, transversality conditions, and Noether symmetry theorems. The existence of solutions is demonstrated under Tonelli type conditions. The results are used to prove the existence of eigenvalues and corresponding orthogonal eigenfunctions of fractional Sturm–Liouville problems.
Advanced Methods in the Fractional Calculus of Variations is a self-contained text which will be useful for graduate students wishing to learn about fractional-order systems. The detailed explanations will interest researchers with backgrounds in applied mathematics, control and optimization as well as in certain areas of physics and engineering.
Perhaps no one is better acquainted with the intersection of economics and politics than Robert B. Reich, and now he reveals how power and influence have created a new American oligarchy, a shrinking middle class, and the greatest income inequality and wealth disparity in eighty years. He makes clear how centrally problematic our veneration of the “free market” is, and how it has masked the power of moneyed interests to tilt the market to their benefit.
Reich exposes the falsehoods that have been bolstered by the corruption of our democracy by huge corporations and the revolving door between Washington and Wall Street: that all workers are paid what they’re “worth,” that a higher minimum wage equals fewer jobs, and that corporations must serve shareholders before employees. He shows that the critical choices ahead are not about the size of government but about who government is for: that we must choose not between a free market and “big” government but between a market organized for broadly based prosperity and one designed to deliver the most gains to the top. Ever the pragmatist, ever the optimist, Reich sees hope for reversing our slide toward inequality and diminished opportunity when we shore up the countervailing power of everyone else.
Passionate yet practical, sweeping yet exactingly argued, Saving Capitalism is a revelatory indictment of our economic status quo and an empowering call to civic action.
From the Hardcover edition.
First published by the University of Chicago Press on September 18, 1944, The Road to Serfdom garnered immediate, widespread attention. The first printing of 2,000 copies was exhausted instantly, and within six months more than 30,000 books were sold. In April 1945, Reader’s Digest published a condensed version of the book, and soon thereafter the Book-of-the-Month Club distributed this edition to more than 600,000 readers. A perennial best seller, the book has sold 400,000 copies in the United States alone and has been translated into more than twenty languages, along the way becoming one of the most important and influential books of the century.
With this new edition, The Road to Serfdom takes its place in the series The Collected Works of F. A. Hayek. The volume includes a foreword by series editor and leading Hayek scholar Bruce Caldwell explaining the book's origins and publishing history and assessing common misinterpretations of Hayek's thought. Caldwell has also standardized and corrected Hayek's references and added helpful new explanatory notes. Supplemented with an appendix of related materials ranging from prepublication reports on the initial manuscript to forewords to earlier editions by John Chamberlain, Milton Friedman, and Hayek himself, this new edition of The Road to Serfdom will be the definitive version of Hayek's enduring masterwork.
A unique feature of the book is its emphasis on applications. These include mechanical vibrations, lasers, biological rhythms, superconducting circuits, insect outbreaks, chemical oscillators, genetic control systems, chaotic waterwheels, and even a technique for using chaos to send secret messages. In each case, the scientific background is explained at an elementary level and closely integrated with mathematical theory.
In the twenty years since the first edition of this book appeared, the ideas and techniques of nonlinear dynamics and chaos have found application to such exciting new fields as systems biology, evolutionary game theory, and sociophysics. This second edition includes new exercises on these cutting-edge developments, on topics as varied as the curiosities of visual perception and the tumultuous love dynamics in Gone With the Wind.
From the Trade Paperback edition.
Stimulus plans: good or bad? Free markets: How free are they? Jobs: Can we afford them? Occupy Wall Street . . . worldwide!
Everybody’s talking about the economy, but how can we, the people, understand what Wall Street or Washington knows—or say they know? Read Economix.
With clear, witty writing and quirky, accessible art, this important and timely graphic novel transforms “the dismal science” of economics into a fun, fact-filled story about human nature and our attempts to make the most of what we’ve got . . . and sometimes what our neighbors have got. Economix explains it all, from the beginning of Western economic thought, to markets free and otherwise, to economic failures, successes, limitations, and future possibilities. It’s the essential, accessible guide to understanding the economy and economic practices. A must-read for every citizen and every voter.
PRAISE FOR ECONOMIX
“Goodwin brilliantly contextualizes economic theories with historical narrative, while Burr’s simple but elegant illustration employs classical techniques like caricaturing politicians and symbolizing big businesses (as a gleeful factory) to help the reader visualize difficult concepts.” —Publishers Weekly, starred review
“[Economix] brings a lively visual sensibility to this intensely abstruse subject matter without condescending to the reader or dumbing the ideas down.” —MotherJones.com
“Flat-out awesome!” —Wired.com
“This witty and elegant volume takes on a number of complex issues—in this case, economics, history and finance—and makes them comprehensible for mere mortals.” —Miami Herald
“After reading Economix I felt like I understood many fundamental aspects about the way the world works that I had been too lazy to learn about before . . . Economix is a book I’m going to buy and give to people.” —Boing Boing
“Having never taken economics in college, I find the world of high finance needlessly complicated and confusing. Thankfully Michael Goodwin saw the need for a basic primary on how the economy currently works and how we got here. A text like this would certainly help high school and college students gain their first taste of financial literacy and it comes recommended for the rest of us.” —ComicMix.com
“Just when the world seems to have fallen apart thanks to the economy, Goodwin and Burr’s Economix comes along to give us some understanding of the immense, yet still ‘delicate machine’ that controls our world so that we can be the rulers with our votes and not the uninformed (or disinformed) ruled.” —BigThink.com
“Michael Goodwin hasn’t just written a great graphic novel—he’s written one that should be required for every school, newsroom and library in the United States.” —Minneapolis Star Tribune
“It’s simply phenomenal. You could read ten books on the subject and not glean as much information.”
— David Bach founder of FinishRich Media; author of nine New York Times bestsellers, including Debt Free for Life and The Automatic Millionaire
“Goodwin has done the seemingly impossible—he has made economics comprehensible and funny.”
— Joel Bakan, author of The Corporation: The Pathological Pursuit of Profit and Power
“An amazing lesson in true-world economics! Delightfully presented, powerful, insightful, and important information! What a fun way to fathom a deep and often dark subject!”
— John Perkins, author of Hoodwinked and the New York Times bestseller Confessions of an Economic Hit Man
“Smart, insightful, clear, and as close to the truth as economics can get. The bonus: Who would have guessed that economics could be fun, and—here's the joy—really accessible? Goodwin roots us in history and fills us with common sense understanding. As he puts it early on, economics seems horribly complicated mostly because we're looking at it all at once. Broken down into its component pieces, it's relatively easy to understand. And a good understanding of economics is critical to maneuvering in the world today. If I were compiling a list of the 100 most important books you can read in a lifetime, this would be on it.”
—Stephen Petranek, editor-in-chief, Weider History magazines, former editor-in-chief of Discover magazine
“Through a potent mix of comics and punchy, concise, accessible prose, Goodwin takes us on a provocative, exhaustively researched, and exceedingly engaging trip through our history and present day, creating an alternately hilarious and scary picture of where we are today as an economy— and what it all means. More than that, Goodwin makes the arcane, understandable. If your mind either spins or slumbers at the thought of economics, read Goodwin's Economix and all will become clear.
—Nomi Prins, author of It Takes a Pillage: An Epic Tale of Power, Deceit, and Untold Trillions
“Economix is a lively, cheerfully opinionated romp through the historical and intellectual foundations of our current economy and our current economic problems. Goodwin has a knack for distilling complex ideas and events in ways that invite the reader to follow the big picture without losing track of what actually happened. Any reader wondering how our economy got to where it is today will find this a refreshing overview.”
—Timothy W. Guinnane, Philip Golden Bartlett Professor of Economic History, Yale University
Parallel universes are a staple of science fiction, and it's no wonder. They allow us to explore the question, "what if?" in a way that lets us step completely outside of the world we know, rather than question how that world might have turned out differently. For cosmologists, the question isn't "what if the South won the Civil War?" but "what if the constants that make up the fundamental building blocks of physics were different?" Physicists argue that any slight change to the laws of physics would mean a disruption in the evolution of the universe, and thus our existence. Take gravity, for example: too strong and stars would burn through their fuel far more quickly. If the universe expanded too fast, matter would spread out too thin for galaxies to form. The list of examples goes on – to the point where the laws of physics might seem finely tuned to make our existence possible. Short of a supernatural or divine explanation, one possibility is that our universe isn't the only one. That's the idea explored in this eBook, Possibilities in Parallel: Seeking the Multiverse. In Section 1, we explore why scientists think other universes could exist. After that, we get a look at the implications. Is it possible to have life in a universe with different physical laws? It would seem so. In "Cracking Open a Window," George Musser discusses the possibility that our universe has more than three spatial dimensions – the others happen to be very small. Other articles, including "The Universe's Unseen Dimensions," analyze the idea that our universe is one of many "branes" – three-dimensional structures stretched out over a higher-dimensional space. The concept of a parallel universe also touches time travel, and then there's the question of what the term "parallel universe" actually means. It's a triumph of the sciences that the very question of why the universe looks as it does can be asked at all. There are currently several possibilities for a multiverse, if it exists. Time and a lot of scientific spadework will reveal which one is right – and get us closer to answering those metaphysical questions: what if, why us, why now?
For most people, quantum theory is a byword for mysterious, impenetrable science. And yet for many years it was equally baffling for scientists themselves.
In this magisterial book, Manjit Kumar gives a dramatic and superbly-written history of this fundamental scientific revolution, and the divisive debate at its core. Quantum theory looks at the very building blocks of our world, the particles and processes without which it could not exist.
Yet for 60 years most physicists believed that quantum theory denied the very existence of reality itself. In this tour de force of science history, Manjit Kumar shows how the golden age of physics ignited the greatest intellectual debate of the twentieth century.
Quantum theory is weird. In 1905, Albert Einstein suggested that light was a particle, not a wave, defying a century of experiments. Werner Heisenberg's uncertainty principle and Erwin Schrodinger's famous dead-and-alive cat are similarly strange. As Niels Bohr said, if you weren't shocked by quantum theory, you didn't really understand it.
While "Quantum" sets the science in the context of the great upheavals of the modern age, Kumar's centrepiece is the conflict between Einstein and Bohr over the nature of reality and the soul of science. 'Bohr brainwashed a whole generation of physicists into believing that the problem had been solved', lamented the Nobel Prize-winning physicist Murray Gell-Mann. But in "Quantum", Kumar brings Einstein back to the centre of the quantum debate. "Quantum" is the essential read for anyone fascinated by this complex and thrilling story and by the band of brilliant men at its heart.
Quantum Mechanics is a (second) book for anyone who wants to learn how to think like a physicist. In this follow-up to the bestselling The Theoretical Minimum, physicist Leonard Susskind and data engineer Art Friedman offer a first course in the theory and associated mathematics of the strange world of quantum mechanics. Quantum Mechanics presents Susskind and Friedman's crystal-clear explanations of the principles of quantum states, uncertainty and time dependence, entanglement, and particle and wave states, among other topics. An accessible but rigorous introduction to a famously difficult topic, Quantum Mechanics provides a tool kit for amateur scientists to learn physics at their own pace.
Basic Economics, which has now been translated into six languages and has additional material online, remains true to its core principle: that the fundamental facts and principles of economics do not require jargon, graphs, or equations, and can be learned in a relaxed and even enjoyable way.
In The Intention Experiment, internationally bestselling author Lynne McTaggart, an award-winning science journalist and leading figure in the human consciousness studies community, presents a gripping scientific detective story and takes you on a mind-blowing journey to the farthest reaches of consciousness. She profiles the colorful pioneers in intention science and works with a team of renowned scientists from around the world, including physicist Fritz-Albert Popp of the International Institute of Biophysics and Dr. Gary Schwartz, professor of psychology, medicine, and neurology at the University of Arizona, to determine the effects of focused group intention on scientifically quantifiable targets -- animal, plant, and human.
The Intention Experiment builds on the discoveries of McTaggart's first book, international bestseller The Field: The Quest for the Secret Force of the Universe, which documented discoveries that point to the existence of a quantum energy field. The Field created a picture of an interconnected universe and a scientific explanation for many of the most profound human mysteries, from alternative medicine and spiritual healing to extrasensory perception and the collective unconscious. The Intention Experiment shows you myriad ways that all this information can be incorporated into your life.
After narrating the exciting developments in the science of intention, McTaggart offers a practical program to get in touch with your own thoughts, to increase the activity and strength of your intentions, and to begin achieving real change in your life. After you've begun to realize the amazing potential of focused intention, and the times when it is most powerful, McTaggart invites you to participate in an unprecedented experiment: Using The Intention Experiment website to coordinate your involvement and track results, you and other participants around the world will focus your power of intention on specific targets, giving you the opportunity to become a part of scientific history.
The Intention Experiment redefines what a book does. It is the first "living" book in three dimensions. The book's text and website are inextricably linked, forming the hub of an entirely self-funded research program, the ultimate aim of which is philanthropic. An original piece of scientific investigation that involves the reader in its quest, The Intention Experiment explores human thought and intention as a tangible energy -- an inexhaustible but simple resource with an awesome potential to focus our lives, heal our illnesses, clean up our communities, and improve the planet.
The Intention Experiment also forces you to rethink what it is to be human. As it proves, we're connected to everyone and everything, and that discovery demands that we pay better attention to our thoughts, intentions, and actions. Here's how you can.
This revised and updated edition adds commentary on hot topics, including the current economic crisis, globalization, the economics of information, the intersection of economics and politics, and the history—and future—of the Federal Reserve.
What do the $350 million Ford Motor Company disaster known as the Edsel, the fast and incredible rise of Xerox, and the unbelievable scandals at General Electric and Texas Gulf Sulphur have in common? Each is an example of how an iconic company was defined by a particular moment of fame or notoriety; these notable and fascinating accounts are as relevant today to understanding the intricacies of corporate life as they were when the events happened.
Stories about Wall Street are infused with drama and adventure and reveal the machinations and volatile nature of the world of finance. Longtime New Yorker contributor John Brooks’s insightful reportage is so full of personality and critical detail that whether he is looking at the astounding market crash of 1962, the collapse of a well-known brokerage firm, or the bold attempt by American bankers to save the British pound, one gets the sense that history repeats itself.
Five additional stories on equally fascinating subjects round out this wonderful collection that will both entertain and inform readers . . . Business Adventures is truly financial journalism at its liveliest and best.
In Rise of the Robots, Ford details what machine intelligence and robotics can accomplish, and implores employers, scholars, and policy makers alike to face the implications. The past solutions to technological disruption, especially more training and education, aren't going to work, and we must decide, now, whether the future will see broad-based prosperity or catastrophic levels of inequality and economic insecurity. Rise of the Robots is essential reading for anyone who wants to understand what accelerating technology means for their own economic prospects—not to mention those of their children—as well as for society as a whole.
The latest entry in the University of Chicago Press’s series of newly edited editions of Hayek’s works, The Constitution of Liberty is, like Serfdom, just as relevant to our present moment. The book is considered Hayek’s classic statement on the ideals of freedom and liberty, ideals that he believes have guided—and must continue to guide—the growth of Western civilization. Here Hayek defends the principles of a free society, casting a skeptical eye on the growth of the welfare state and examining the challenges to freedom posed by an ever expanding government—as well as its corrosive effect on the creation, preservation, and utilization of knowledge. In opposition to those who call for the state to play a greater role in society, Hayek puts forward a nuanced argument for prudence. Guided by this quality, he elegantly demonstrates that a free market system in a democratic polity—under the rule of law and with strong constitutional protections of individual rights—represents the best chance for the continuing existence of liberty.
Striking a balance between skepticism and hope, Hayek’s profound insights are timelier and more welcome than ever before. This definitive edition of The Constitution of Liberty will give a new generation the opportunity to learn from his enduring wisdom.
The authors outline how their positions have further diverged on a number of key issues, including the spatial geometry of the universe, inflationary versus cyclic theories of the cosmos, and the black-hole information-loss paradox. Though much progress has been made, Hawking and Penrose stress that physicists still have further to go in their quest for a quantum theory of gravity.
The Essentials For Dummies Series
Dummies is proud to present our new series, The Essentials For Dummies. Now students who are prepping for exams, preparing to study new material, or who just need a refresher can have a concise, easy-to-understand review guide that covers an entire course by concentrating solely on the most important concepts. From algebra and chemistry to grammar and Spanish, our expert authors focus on the skills students most need to succeed in a subject.
Time and again, where Yau has gone, physics has followed. Now for the first time, readers will follow Yau’s penetrating thinking on where we’ve been, and where mathematics will take us next. A fascinating exploration of a world we are only just beginning to grasp, The Shape of Inner Space will change the way we consider the universe on both its grandest and smallest scales.
A look at how our current crises are caused by too much government, and how Ayn Rand's bold defense of free markets can help us change course.
The rise of the Tea Party and the 2010 election results revealed that tens of millions of Americans are alarmed by Big Government, but skeptical that anything can or will be done to stop the growth of the state. In Free Market Revolution, the keepers of Ayn Rand's legacy argue that the answer lies in her pioneering philosophy of capitalism and self-interest –a philosophy that more and more people are turning to for answers. In the past few years, Rand's works have surged to new peaks of popularity, as politicians like Paul Ryan, media figures like John Stossel, and businessmen like John Mackey routinely name her as one of their chief influences. Here, Brook and Watkins explain how her ideas can solve a host of political and economic ills, including the debt crisis, inflation, overregulation, and the swelling welfare state. And most important, they show how Rand's philosophy can enable defenders of the free market to sieze the moral high ground in the fight to limit government. This is a fresh and urgent look at the ideas of one of the most controversial figures in modern history – ideas that may prove the only hope for the future.
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The subatomic realm has a reputation for weirdness, spawning any number of profound misunderstandings, journeys into Eastern mysticism, and woolly pronouncements on the interconnectedness of all things. Cox and Forshaw's contention? There is no need for quantum mechanics to be viewed this way. There is a lot of mileage in the “weirdness” of the quantum world, and it often leads to confusion and, frankly, bad science. The Quantum Universe cuts through the Wu Li and asks what observations of the natural world made it necessary, how it was constructed, and why we are confident that, for all its apparent strangeness, it is a good theory.
The quantum mechanics of The Quantum Universe provide a concrete model of nature that is comparable in its essence to Newton's laws of motion, Maxwell's theory of electricity and magnetism, and Einstein's theory of relativity.
Deftly weaving together psychology, evolutionary biology, anthropology, physics, and economics, along with the compelling story of hard-won lessons learned in the field, Harford makes a passionate case for the importance of adaptive trial and error in tackling issues such as climate change, poverty, and financial crises—as well as in fostering innovation and creativity in our business and personal lives.
Taking us from corporate boardrooms to the deserts of Iraq, Adapt clearly explains the necessary ingredients for turning failure into success. It is a breakthrough handbook for surviving—and prospering— in our complex and ever-shifting world.
Math textbooks can be as baffling as the subject they're teaching. Not anymore. The best-selling author of The Complete Idiot's Guide® to Calculus has taken what appears to be a typical calculus workbook, chock full of solved calculus problems, and made legible notes in the margins, adding missing steps and simplifying solutions. Finally, everything is made perfectly clear. Students will be prepared to solve those obscure problems that were never discussed in class but always seem to find their way onto exams.
--Includes 1,000 problems with comprehensive solutions
--Annotated notes throughout the text clarify what's being asked in each problem and fill in missing steps
--Kelley is a former award-winning calculus teacher
Physicist Dave Goldberg speeds across space, time and everything in between showing that our elegant universe—from the Higgs boson to antimatter to the most massive group of galaxies—is shaped by hidden symmetries that have driven all our recent discoveries about the universe and all the ones to come.
Why is the sky dark at night? If there is anti-matter, can there be anti-people? Why are past, present, and future our only options? Saluting the brilliant but unsung female mathematician Emmy Noether as well as other giants of physics, Goldberg answers these questions and more, exuberantly demonstrating that symmetry is the big idea—and the key to what lies ahead.
From the Trade Paperback edition.
Trillions of dollars in assets and fundamental political power are changing hands as free markets wrest control from government of the "commanding heights" -- the dominant businesses and industries of the world economy. Daniel Yergin and Joseph Stanislaw demonstrate that words like "privatization" and "deregulation" are inadequate to describe the enormous upheaval that is unfolding before our eyes. Along with the creation of vast new wealth, the map of the global economy is being redrawn. Indeed, the very structure of society is changing. New markets and new opportunities have brought great new risks as well. How has all this come about? Who are the major figures behind it? How does it affect our lives?
The collapse of the Soviet Union, the awesome rise of China, the awakening of India, economic revival in Latin America, the march toward the European Union -- all are a part of this political and economic revolution. Fiscal realities and financial markets are relentlessly propelling deregulation; achieving a new balance between government and marketplace will be the major political challenge in the coming years. Looking back, the authors describe how the old balance was overturned, and by whom. Looking forward, they explore these questions: Will the new balance prevail? Or does the free market contain the seeds of its own destruction? Will there be a backlash against any excesses of the free market? And finally, The Commanding Heights illuminates the five tests by which the success or failure of all these changes can be measured, and defines the key issues as we enter the twenty-first century.
The Commanding Heights captures this revolution in ideas in riveting accounts of the history and the politics of the postwar years and compelling tales of the astute politicians, brilliant thinkers, and tenacious businessmen who brought these changes about. Margaret Thatcher, Donald Reagan, Deng Xiaoping, and Bill Clinton share the stage with the "Minister of Thought" Keith Joseph, the broommaker's son Domingo Cavallo, and Friedrich von Hayek, the Austrian economist who was determined to win the twenty-year "battle of ideas." It is a complex and wide-ranging story, and the authors tell it brilliantly, with a deep understanding of human character, making critically important ideas lucid and accessible. Written with unique access to many of the key players, The Commanding Heights, like no other book, brings us an understanding of the last half of the twentieth century -- and sheds a powerful light on what lies ahead in the twenty-first century.
How can we benefit from the promise of government while avoiding the threat it poses to individual freedom? In this classic book, Milton Friedman provides the definitive statement of his immensely influential economic philosophy—one in which competitive capitalism serves as both a device for achieving economic freedom and a necessary condition for political freedom. The result is an accessible text that has sold well over half a million copies in English, has been translated into eighteen languages, and shows every sign of becoming more and more influential as time goes on.
Life is the most extraordinary phenomenon in the known universe; but how did it come to be? Even in an age of cloning and artificial biology, the remarkable truth remains: nobody has ever made anything living entirely out of dead material. Life remains the only way to make life. Are we still missing a vital ingredient in its creation?
Like Richard Dawkins' The Selfish Gene, which provided a new perspective on how evolution works, Life on the Edge alters our understanding of our world's fundamental dynamics. Bringing together first-hand experience at the cutting edge of science with unparalleled gifts of explanation, Jim Al-Khalili and Johnjoe Macfadden reveal that missing ingredient to be quantum mechanics; the phenomena that lie at the heart of this most mysterious of sciences.
Drawing on recent ground-breaking experiments around the world, each chapter in Life on the Edge engages by illustrating one of life's puzzles: How do migrating birds know where to go? How do we really smell the scent of a rose? How do our genes copy themselves with such precision? Life on the Edge accessibly reveals how quantum mechanics can answer these probing questions of the universe.
Guiding the reader through the rapidly unfolding discoveries of the last few years, Al-Khalili and McFadden communicate the excitement of the explosive new field of quantum biology and its potentially revolutionary applications, while offering insights into the biggest puzzle of all: what is life? As they brilliantly demonstrate in these groundbreaking pages, life exists on the quantum edge.
– Winner, Stephen Hawking Medal for Science Communication
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More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.
This Schaum's Outline gives you1,370 fully solved problems Complete review of all course fundamentals Clear, concise explanations of all Advanced Calculus concepts
Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time--and get your best test scores!
Topics include: Numbers; Sequences; Functions, Limits, and Continuity; Derivatives; Integrals; Partial Derivatives; Vectors; Applications of Partial Derivatives; Multiple Integrals; Line Integrals, Surface Integrals, and Integral Theorems; Infinite Series; Improper Integrals; Fourier Series; Fourier Integrals; Gamma and Beta Functions; and Functions of a Complex Variable
Schaum's Outlines--Problem Solved.
A self-contained text, it presents the necessary background on the limit concept, and the first seven chapters could constitute a one-semester introduction to limits. Subsequent chapters discuss differential calculus of the real line, the Riemann-Stieltjes integral, sequences and series of functions, transcendental functions, inner product spaces and Fourier series, normed linear spaces and the Riesz representation theorem, and the Lebesgue integral. Supplementary materials include an appendix on vector spaces and more than 750 exercises of varying degrees of difficulty. Hints and solutions to selected exercises, indicated by an asterisk, appear at the back of the book.
In Three Roads to Quantum Gravity, Lee Smolin provides an accessible overview of the attempts to build a final "theory of everything." He explains in simple terms what scientists are talking about when they say the world is made from exotic entities such as loops, strings, and black holes and tells the fascinating stories behind these discoveries: the rivalries, epiphanies, and intrigues he witnessed firsthand.
"Provocative, original, and unsettling." -The New York Review of Books
"An excellent writer, a creative thinker."-Nature
1001 Calculus Practice Problems For Dummies takes you beyond the instruction and guidance offered in Calculus For Dummies, giving you 1001 opportunities to practice solving problems from the major topics in your calculus course. Plus, an online component provides you with a collection of calculus problems presented in multiple-choice format to further help you test your skills as you go.Gives you a chance to practice and reinforce the skills you learn in your calculus course Helps you refine your understanding of calculus Practice problems with answer explanations that detail every step of every problem
The practice problems in 1001 Calculus Practice Problems For Dummies range in areas of difficulty and style, providing you with the practice help you need to score high at exam time.
Dirac’s personality is legendary. He was an extraordinarily reserved loner, relentlessly literal-minded and appeared to have no empathy with most people. Yet he was a family man and was intensely loyal to his friends. His tastes in the arts ranged from Beethoven to Cher, from Rembrandt to Mickey Mouse.
Based on previously undiscovered archives, The Strangest Man reveals the many facets of Dirac’s brilliantly original mind. A compelling human story, The Strangest Man also depicts a spectacularly exciting era in scientific history.
This reprint of Edwin Cannan's definitive 1904 edition of The Wealth of Nations includes Cannan's famous introduction, notes, and a full index, as well as a new preface written especially for this edition by the distinguished economist George J. Stigler. Mr. Stigler's preface will be of value for anyone wishing to see the contemporary relevance of Adam Smith's thought.
Want to "know it ALL" when it comes to pre-calculus? This book gives you the expert, one-on-one instruction you need, whether you're new to pre-calculus or you're looking to ramp up your skills. Providing easy-to-understand concepts and thoroughly explained exercises, math whiz Stan Gibilisco serves as your own private tutor--without the expense! His clear, friendly guidance helps you tackle the concepts and problems that confuse you the most and work through them at your own pace.
Train your brain with ease!
Pre-Calculus Know-It-ALL features:Checkpoints to help you track your knowledge and skill level Problem/solution pairs and chapter-ending quizzes to reinforce learning Fully explained answers to all practice exercises A multiple-choice exam to prepare you for standardized tests "Extra Credit" and "Challenge" problems to stretch your mind
Stan's expert guidance gives you the know-how to:Calculate distance in Cartesian two-and three-space Perform vector multiplication Work with cylindrical and spherical coordinates Understand relations and functions Learn the properties of conic sections Graph exponential, logarithmic, and trigonometric curves Define curves with parametric equations Work with sequences, series, and limits Take college entrance examinations with confidence And much more!
Quantum mechanics underpins modern science and provides us with a blueprint for reality itself. And yet it has been said that if you're not shocked by it, you don't understand it. But is quantum physics really so unknowable? Is reality really so strange? And just how can cats be half-alive and half-dead at the same time?
Our journey into the quantum begins with nature's own conjuring trick, in which we discover that atoms -- contrary to the rules of everyday experience -- can exist in two locations at once. To understand this we travel back to the dawn of the twentieth century and witness the birth of quantum theory, which over the next one hundred years was to overthrow so many of our deeply held notions about the nature of our universe. Scientists and philosophers have been left grappling with its implications every since.
In Pursuit of the Traveling Salesman travels to the very threshold of our understanding about the nature of complexity, and challenges you yourself to discover the solution to this captivating mathematical problem.
Some images inside the book are unavailable due to digital copyright restrictions.
• Investigates the history of how modern religion and the Age of Science were inspired by the sacred science of the ancients
• Examines how quantum theory explains that the cosmos arises from consciousness
• Reveals the unanimity between Schwaller de Lubicz’s “sacred science” and the science of a cosmos governed by quantum mechanics
Since the dawn of the Age of Science humankind has been engaged in a methodical quest to understand the cosmos. With the development of quantum mechanics, the notion that everything is solid matter is being replaced with the idea that information or “thought” may be the true source of physical reality.
Such scientific inquiry has led to a growing interest in the brain’s unique and mysterious ability to create perception, possibly through quantum interactions. Consciousness is now being considered as much a fundamental part of reality as the three dimensions we are so familiar with. Although this direction in scientific thought is seen as a new approach, the secret wisdom of the ancients presented just such a view thousands of years ago.
Building on René A. Schwaller de Lubicz’s systematic study of Luxor’s Temple of Amun-Mut-Khonsu during the 1940s and ’50s, Edward Malkowski shows that the ancient Egyptians' worldview was not based on superstition or the invention of myth but was the result of direct observation using critical faculties attuned to the quantum manifestation of the universe. This understanding of reality as a product of human consciousness provided the inspiration for the sacred science of the ancients--precisely the philosophy modern science is embracing today. In the philosophical tradition of Schwaller de Lubicz, The Spiritual Technology of Ancient Egypt investigates the technical and religious legacy of ancient Egypt to reveal its congruence with today’s “New Science.”
This is one of the most powerful books you shall ever read. With research from quantum physics, psychology, biology and behavioral epigenetics, as well as many great spiritual teachings, 'Moving Through Parallel Worlds' will guide you on a path to achieving your grandest ambitions.
The title, 'Moving Through Parallel Worlds To Achieve Your Dreams,' is literal - based on the 'Many Worlds Interpretation of Quantum Mechanics,' and it is also a metaphor suggesting positive life transformation. This very night, you shall be reading and then applying the concepts in this book, and that moment will be the starting point of your mastery of wealth, romance, creation, and mastery of all things in the physical world.
'Moving Through Parallel Worlds' draws on science and timeless wisdom, to guide you on a path to unlimited power and enlightenment. 'Moving Through Parallel Worlds To Achieve Your Dreams' will allow you to bridge the discontinuity in your life from the point where you are at right now, to the point where you dream that you can be. This book shall put you into alignment with all that you have imagined possible for yourself and shall show you a path even to that which you may have considered impossible. This book has emerged so that you may be lifted up, and that you may come to realize the power you have to exist in a world that is exactly as you imagine it should be. This is your moment and this book is here, just for you. Enjoy the journey!
For the paperback edition, Landes has written a new epilogue, in which he takes account of Asian financial crisises and the international tension between overconfidence and reality.
The five main ideas involve (1) insuring that in computing there is an intimate connection between the source of the problem and the usability of the answers (2) avoiding isolated formulas and algorithms in favor of a systematic study of alternate ways of doing the problem (3) avoidance of roundoff (4) overcoming the problem of truncation error (5) insuring the stability of a feedback system.
In this second edition, Professor Hamming (Naval Postgraduate School, Monterey, California) extensively rearranged, rewrote and enlarged the material. Moreover, this book is unique in its emphasis on the frequency approach and its use in the solution of problems. Contents include:
I. Fundamentals and Algorithms
II. Polynomial Approximation- Classical Theory
Ill. Fourier Approximation- Modern Theory
IV. Exponential Approximation ... and more
Highly regarded by experts in the field, this is a book with unlimited applications for undergraduate and graduate students of mathematics, science and engineering. Professionals and researchers will find it a valuable reference they will turn to again and again.